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Final Exam Review Dr. Holbert May 1, 2006 ECE201 Final Exam Review 1 The Fundamentals • • • • Polarity and Passive Sign Convention Ohm’s Law; KCL; KVL Voltage and Current Division Phasors, Impedance, and Complex numbers ECE201 Final Exam Review 2 Circuit Analysis Techniques • Wide applicability (DC, AC, Transient) • Nodal and Loop/Mesh Analyses • Linearity; Source Transformation; Superposition • Thevenin’s and Norton’s Theorems • Applications: Op-Amps ECE201 Final Exam Review 3 Op Amps v+ + Rin v– vo + – – A(v+ - v– ) ECE201 Final Exam Review • Generally apply nodal analysis • Ideal Op-Amp Relations i– = 0 = i+ v– = v+ 4 LC Characteristics Element V/I Relation DC Steady-State Resistor V(t) = R I(t) V=IR Capacitor I(t) = C dV(t)/dt I=0; open Inductor V=0; short V(t) = L dI(t)/dt ECE201 Final Exam Review 5 First-Order Circuits • Determine the differential equation • Find the forced (particular) and natural (complementary) solutions • Compute time constant (=RC; =L/R) • Transient and steady-state waveforms ECE201 Final Exam Review 6 Second-Order Circuits • Determine the differential equation • Find the forced and homogeneous solutions • Compute the natural frequency, 0, and the damping ratio, (or compute the roots, s1,2, of the characteristic equation) ECE201 Final Exam Review 7 Damping Summary ζ Roots (s1, s2) Damping ζ>1 Real and unequal Overdamped ζ=1 Real and equal 0<ζ<1 Complex Critically damped Underdamped ECE201 Final Exam Review 8 Transient Circuit Analysis • • • • First and second order circuits Differential equation approach Step-by-step approach Bottom line: Using techniques from this semester can you find v(t) and/or i(t)? ECE201 Final Exam Review 9